83408104 has 64 divisors (see below), whose sum is σ = 178375680. Its totient is φ = 36288000.

The previous prime is 83408071. The next prime is 83408107. The reversal of 83408104 is 40180438.

It is not an unprimeable number, because it can be changed into a prime (83408107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131869 + ... + 132499.

It is an arithmetic number, because the mean of its divisors is an integer number (2787120).

Almost surely, 2^83408104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83408104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89187840).

83408104 is an abundant number, since it is smaller than the sum of its proper divisors (94967576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83408104 is a wasteful number, since it uses less digits than its factorization.

83408104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 83408104 is about 9132.8037316040. The cubic root of 83408104 is about 436.9208297040.

The spelling of 83408104 in words is "eighty-three million, four hundred eight thousand, one hundred four".